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This pattern, with a generator between 2\11 (218.182 cents) and 1\5 (240), has multiple significant harmonic entropy minima, but they are all improper. The only saving grace for it is that is has harmonic entropy minima where the ratio between the large and small steps is optimal for melody, and that the generator for these scales is less than 6 cents flat of 8/7. The saving grace of the more lopsided scales is that a syntonic fifth is three generators up from the root.

1\5








240








9\46

234.783









17\87
234.483
Rodan is around here






8\41


234.146








15\77

233.766
Slendric is around here





7\36



233.333







13\67


232.836





6\31




232.258
Cynder/mothra is around here





11\57



231.579




5\26





230.769





9\47




229.787










228.944



4\21






228.571










227.75





11\58




227.586







29\153


227.451









76\401
227.431








47\248

227.419






18\95



227.368




7\37





227.027


3\16







225
Boundary of propriety
(smaller generators are proper)









223.692




8\43





223.256






21\113



223.009








55\296

222.973









89\479
222.9645







34\183


222.951





13\70




222.857










222.6765



5\27






222.222




7\38





221.035





9\49




220.408






11\60



220







13\71


219.718








15\82

219.512









17\93
219.355

2\11








218.182
Machine is around here